Electronic Journal of Differential Equations,
Vol. 2019 (2019), No. 105, pp. 1-16.

Title: Sharp Trudinger-Moser inequalities with homogeneous weights

Authors: Nguyen Tuan Duy (Univ. of Finance-Marketing, Ho Chi Minh City, Vietnam)
         Le Trung Nghia (Ton Duc Thang Univ., Ho Chi Minh City, Vietnam)
         Le Long Phi (Duy Tan Univ., Da Nang 550000, Vietnam)

Abstract:
 We investigate sharp Trudinger-Moser type inequalities with the
 homogeneous weight satisfying a natural curvature-dimension bound
 condition. Also we study the optimal versions of these inequalities
 with best constants on both finite and infinite volume domains on
 Euclidean spaces.

Submitted July 30, 2019. Published September 10, 2019.
Math Subject Classifications: 35A23, 26D15, 46E35, 46E30.
Key Words: Trudinger-Moser inequalities; homogeneous weights;
           best constants; critical growth; exact growth condition.